A Comparative Study of Pricing Option with Efficient Methods

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Sujon Chandra Sutradhar
A B M Shahadat Hossain

Abstract

Our main objective of this paper is to introduce four individual techniques of pricing options; the techniques are Binomial method, Trinomial method, Monte Carlo simulation and Black-ScholesMerton model. Because they play a significant role in option valuation of stock price dynamics, risk managements as well as stock market. In this paper, we briefly discuss all these four methods with their properties and behavior. We also focused on numerical technique for the higher accuracy of option pricing and compare them graphically. We use the Computer Algebra System (CAS) Python (Edition 2019.3.1) for this purpose.

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References

H. Xiaoping, G. Jiafeng, D. Tao, C. Lihua and C. Jie, "Pricing Options Based on Trinomial Markov Tree," Discrete

Dynamics in Nature and Society, pp. 1-7, 16 July 2014.

Shi, X., Zhang, L., & Kim, Y. S. (2016). A markov chain approximation for American option pricing in tempered stablegarch models. Frontiers in Applied Mathematics and Statistics, 1, 13.

J. C. Hull, OPTIONS, FUTURES, And Other Derivatives, United States of America: Pearson, 2015, 2012.

S. E. Shreve., Stochastic calculus for finance. I: The binomial asset pricing model. New York: Springer., 2004.

P. Wilmott, S. Howison, and J. Dewynne. The mathematics of financial derivatives. A student introduction. S. E. Shreve., Stochastic calculus for finance. II: Continuous-time models. New York: Springer., 2004.

H. Föllmer and A. Schied., Stochastic finance. An introduction in discrete time. Berlin: de Gruyter., 2004.

Yeh, I. C., & Lien, C. H. (2020). Evaluating real estate development project with Monte Carlo based binomial options pricing model. Applied Economics Letters, 27(4), 307-324.

S. E. Shreve., Stochastic calculus for finance. II: Continuoustime models. New York: Springer., 2004.

J. M. Steele., Stochastic calculus and financial applications. New York: Springer., 2001.

T. Björk., Arbitrage theory in continuous time. 2nd ed. Oxford: Oxford University Press., 2004.